54 citations · 159 across the 23 of their papers we have counts for
23 papers
Large scale theoretical investigation of the phase diagram of twisted bilayer MoTe at fractional fillings: agreements and contradictions with current experiments
Heqiu Li, Jiabin Yu, Xiaodong Xu +2
We present a comprehensive exact-diagonalization study of interaction-driven phases in twisted bilayer MoTe across experimentally relevant twist angles (--…
Representability-Aware Neural Networks for Reduced Density Matrices: Application to Fractional Chern Insulators
Justin B. Hart, Awwab A. Azam, Thomas Li +4
We develop a representability-aware and interpolable neural network (NN) framework for predicting two-particle reduced density matrices (2-RDMs). The NN incorporates a subset of re…
Quantum Geometric Quadrupole of Cooper Pairs
Wenqin Chen, Kaijie Yang, Ting Cao +3
The size of Cooper pairs defines a fundamental length scale of superconductivity, conventionally set by band dispersion and the superconducting gap. This picture breaks down in fla…
Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe
Ziyue Qi, Hanqi Pi, Yan Zhang +6
The interplay between moiré flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic propertie…
Quantum Geometry in the NbSe Family I: Obstructed Compact Wannier Function and New Perturbation Theory
Jiabin Yu, Yi Jiang, Yuanfeng Xu +8
We revisit the electronic structure and band topology of monolayer 1H-NbSe, which hosts both superconductivity and charge density wave, and its related compounds 1H-MoS, Nb…
Spinless and spinful charge excitations in moiré Fractional Chern Insulators
Miguel Gonçalves, Juan Felipe Mendez-Valderrama, Jonah Herzog-Arbeitman +5
Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spon…
Kekulé Spiral Order from Strained Topological Heavy Fermions
Jonah Herzog-Arbeitman, Dumitru Călugăru, Haoyu Hu +5
The topological heavy fermion (THF) model of twisted bilayer graphene is a framework for treating its strongly interacting topological flat bands. In this work, we employ the THF m…
Probing the Quantized Berry Phases in 1H-NbSe Using Scanning Tunneling Microscopy
Dumitru Călugăru, Yi Jiang, Haojie Guo +7
Topologically trivial insulators are classified into two primary categories: unobstructed and obstructed atomic insulators. While both types can be described by exponentially local…
Universal Wilson Loop Bound of Quantum Geometry
Jiabin Yu, Jonah Herzog-Arbeitman, B. Andrei Bernevig
We define the absolute Wilson loop winding and prove that it bounds the (integrated) quantum metric from below. This Wilson loop lower bound naturally reproduces the known Chern an…
Quantum Geometry in Quantum Materials
Jiabin Yu, B. Andrei Bernevig, Raquel Queiroz +3
Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse physical phenomena in quantum materials. In condensed matter systems, quantum geometry refers…
A New Moiré Platform Based on M-Point Twisting
Dumitru Călugăru, Yi Jiang, Haoyu Hu +9
We introduce a new class of moiré systems and materials based on monolayers with triangular lattices and low-energy states at the M points of the Brillouin zone. These M-point moir…
Universal Moiré-Model-Building Method without Fitting: Application to Twisted MoTe and WSe
Yan Zhang, Hanqi Pi, Jiaxuan Liu +8
We develop a comprehensive method to construct analytical continuum models for moiré systems directly from first-principle calculations without any parameter fitting. The core idea…
Moiré Fractional Chern Insulators IV: Fluctuation-Driven Collapse of FCIs in Multi-Band Exact Diagonalization Calculations on Rhombohedral Graphene
Jiabin Yu, Jonah Herzog-Arbeitman, Yves H. Kwan +2
The fractional Chern insulators (FCIs) observed in pentalayer rhombohedral graphene/hexagonal boron nitride superlattices have a unique origin contrary to theoretical expectations:…
When Could Abelian Fractional Topological Insulators Exist in Twisted MoTe (and Other Systems)
Yves H. Kwan, Glenn Wagner, Jiabin Yu +6
Using comprehensive exact diagonalization calculations on twisted bilayer MoTe (MoTe), as well as idealized Landau level models also relevant for…
Corner Charge Fluctuation as an Observable for Quantum Geometry and Entanglement in Two-dimensional Insulators
Pok Man Tam, Jonah Herzog-Arbeitman, Jiabin Yu
Measuring bipartite fluctuations of a conserved charge, such as the particle number, is a powerful approach to understanding quantum systems. When the measured region has sharp cor…
Heavy Fermions as an Efficient Representation of Atomistic Strain and Relaxation in Twisted Bilayer Graphene
Jonah Herzog-Arbeitman, Jiabin Yu, Dumitru Călugăru +5
Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald (BM) Hamiltonian, there is mounting evide…
Topological Heavy Fermion Principle For Flat (Narrow) Bands With Concentrated Quantum Geometry
Jonah Herzog-Arbeitman, Jiabin Yu, Dumitru Călugăru +8
We propose a general principle for the low-energy theory of narrow bands with concentrated Berry curvature and Fubini-Study metric in the form of a map to Anderson-"+" models compo…
Moiré Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moiré Potential and Goldstone Gaps in Rhombohedral Graphene Superlattices
Yves H. Kwan, Jiabin Yu, Jonah Herzog-Arbeitman +3
We investigate in detail the displacement-field-tuned interacting phase diagram of layer rhombohedral graphene aligned to hBN (RG/hBN). Our calculations acc…
Moiré Fractional Chern Insulators II: First-principles Calculations and Continuum Models of Rhombohedral Graphene Superlattices
Jonah Herzog-Arbeitman, Yuzhi Wang, Jiaxuan Liu +10
The experimental discovery of fractional Chern insulators (FCIs) in rhombohedral pentalayer graphene twisted on hexagonal boron nitride (hBN) has preceded theoretical prediction. S…
Moiré Fractional Chern Insulators I: First-principles calculations and Continuum Models of Twisted Bilayer MoTe
Yujin Jia, Jiabin Yu, Jiaxuan Liu +6
Recent experiments observed fractional Chern insulators (FCI) in twisted bilayer MoTe at zero magnetic field, yet even the single-particle model of this material is controversi…
Fractional Chern Insulators vs. Non-Magnetic States in Twisted Bilayer MoTe
Jiabin Yu, Jonah Herzog-Arbeitman, Minxuan Wang +3
Fractionally filled Chern bands with strong interactions may give rise to fractional Chern insulator (FCI) states, the zero-field analogue of the fractional quantum Hall effect. Re…
PbCu(PO4)(OH): Phonon bands, Localized Flat Band Magnetism, Models, and Chemical Analysis
Yi Jiang, Scott B. Lee, Jonah Herzog-Arbeitman +12
In a series of recent reports, doped lead apatite (LK-99) has been proposed as a candidate ambient temperature and pressure superconductor. However, from both an experimental and t…
Nontrivial Quantum Geometry and the Strength of Electron-Phonon Coupling
Jiabin Yu, Christopher J. Ciccarino, Raffaello Bianco +3
The coupling of electrons to phonons (electron-phonon coupling) is crucial for the existence of various phases of matter, in particular superconductivity and density waves. Here, w…